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		<a class="header-logo header-affix-hide margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">ZZB的数学作业</a>
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                ZZB的数学作业                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是广袤无垠的宇宙</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是一泻千里的银河</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是独一无二的太阳系</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是蔚蓝色的地球</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里，就是这里，是富饶的中国大陆！</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是神奇的河北大地</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是美丽的唐山</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是神话般的唐山一中</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">这里是ZZB曾经的教室</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">黑板上还留有当年ZZB做过的数学作业，其实也并不是什么很困难的题目: </span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">&ldquo;把一个正整数M分成P个不超过K的正整数的和，满足分成的数不是N的倍数，并且P也不是N的倍数，求这样的P最小是多少？&rdquo;</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">&nbsp;ZZB至今还深刻记得当年熬夜奋战求解的时光</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">他甚至还能记得浪费了多少草稿纸</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">但是却怎么也想不起来最后的答案是多少了</span></div>
<div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">你能帮助他么？</span></div></p><hr/><h3>输入格式</h3><p><div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">一个测试点不超过10组数据，每行三个整数N、M、K代表一组数据，以EOF结尾。</span></div></p><hr/><h3>输出格式</h3><p><div style="text-indent: 21pt; line-height: 120%"><span style="font-size: medium">对于每组数据输出一行，一个整数，即最小的P。</span></div></p><hr/><h3>样例输入</h3><pre>3 11 6 
2 12 47
</pre><hr/><h3>样例输出</h3><pre>4
-1</pre><hr/><h3>提示</h3><p><p><span style="font-size: medium">对于100%的数据，1&lt;=N，M，K&lt;=10^9。</span></p></p><hr/><h3>题目来源</h3><p>Adera 3 杯省选模拟赛</p>
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